Basic Math Examples

Solve for j (j*1)/4-1 2/3=3 7/12
Step 1
Simplify the left side.
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Step 1.1
Simplify .
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Step 1.1.1
Convert to an improper fraction.
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Step 1.1.1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.1.2
Add and .
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Step 1.1.1.2.1
Write as a fraction with a common denominator.
Step 1.1.1.2.2
Combine the numerators over the common denominator.
Step 1.1.1.2.3
Add and .
Step 1.1.2
Multiply by .
Step 2
Simplify the right side.
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Step 2.1
Convert to an improper fraction.
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Step 2.1.1
A mixed number is an addition of its whole and fractional parts.
Step 2.1.2
Add and .
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Step 2.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 2.1.2.2
Combine and .
Step 2.1.2.3
Combine the numerators over the common denominator.
Step 2.1.2.4
Simplify the numerator.
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Step 2.1.2.4.1
Multiply by .
Step 2.1.2.4.2
Add and .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Multiply by .
Step 3.5.2
Add and .
Step 3.6
Cancel the common factor of and .
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Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factors.
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Step 3.6.2.1
Factor out of .
Step 3.6.2.2
Cancel the common factor.
Step 3.6.2.3
Rewrite the expression.
Step 4
Since the expression on each side of the equation has the same denominator, the numerators must be equal.